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313112053 is a prime number
BaseRepresentation
bin10010101010011…
…011010111110101
3210211011201222201
4102222123113311
51120124041203
651023024501
710521260062
oct2252332765
9724151881
10313112053
1115081a7a1
1288a3b131
134cb3c007
142d827c69
151c74de1d
hex12a9b5f5

313112053 has 2 divisors, whose sum is σ = 313112054. Its totient is φ = 313112052.

The previous prime is 313112029. The next prime is 313112071. The reversal of 313112053 is 350211313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 301126609 + 11985444 = 17353^2 + 3462^2 .

It is a cyclic number.

It is not a de Polignac number, because 313112053 - 217 = 312980981 is a prime.

It is a super-3 number, since 3×3131120533 (a number of 26 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 313112053.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313112353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156556026 + 156556027.

It is an arithmetic number, because the mean of its divisors is an integer number (156556027).

Almost surely, 2313112053 is an apocalyptic number.

It is an amenable number.

313112053 is a deficient number, since it is larger than the sum of its proper divisors (1).

313112053 is an equidigital number, since it uses as much as digits as its factorization.

313112053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 270, while the sum is 19.

The square root of 313112053 is about 17694.9725345930. The cubic root of 313112053 is about 679.0471465459.

Adding to 313112053 its reverse (350211313), we get a palindrome (663323366).

The spelling of 313112053 in words is "three hundred thirteen million, one hundred twelve thousand, fifty-three".